ยจ545
Sharp Characters and Prime Graphs of Finite Groups
โ Scribed by N. Iiyori
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 249 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
Let G be a finite group and p a prime divisor of conjecture of W. Feit states that if a finite simple group G has a p-Steinberg character then G is a finite simple group of Lie type in characteristic p. In this paper we prove this conjecture, using the classification of finite simple groups.
Let G be a finite group and E a generating set for G. Let P be a probability measure on G whose support is E. We define a random walk on G as follows. At the zeroth stage, we set w 0 =1. At the k th stage, we set w k =w k&1 x, where x # E is chosen with probability P(x). For g # G, the probability t
We associate a weighted graph โฌ G to each finite simple group G of Lie type. ## ลฝ . We show that, with an explicit list of exceptions, โฌ G determines G up to ลฝ . isomorphism, and for these exceptions, โฌ G nevertheless determines the characteristic of G. This result was motivated by algorithmic c
This paper outlines an investigation of a class of arc-transitive graphs admitting a f inite symmetric group S n acting primitively on vertices, with vertex-stabilizer isomorphic to the wreath product S m wr S r (preserving a partition of {1, 2, . . . , n} into r parts of equal size m). Several prop